write and evaluate expressions, equations, and inequalities using order of operations and real-world problems.
8.1.2,
8.1.2.a Use drawings, words, and symbols to explain the effects of such operations as multiplication and division
8.3.1
8.3.1.a Represent, interpret, and analyze patterns with graphs, tables, and algebraic equations
8.3.3
8.3.3.e Identify and explain equivalent forms of linear equations
8.1.4
8.1.4.a Use estimation methods to check the reasonableness of solutions for problems involving rational numbers.
8-12
variable, algebraic expression, power, exponent, base, order of operations, rate, equation, inequality, formula,
textbook chapter 1
daily assignments, notes
quizzes, worksheets, test
2
1
represent functions as rules and tables and graph these functions.
8.3.1
8.3.1.a Represent, interpret, and analyze patterns with graphs, tables, and algebraic equations
4-6
function, domain, range, independent, dependent
textbook chapter 1
daily assignments, notes
quizzes, worksheets, test
3
1
classify and order integers and rationals, perform basic operations, find square roots, apply properties to evaluate and simplify expressions, and use the Distributive Property to write equivalent expressions.
8.1.1
8.1.1.a Compare and order real numbers
8.1.1.d Classify numbers as natural, whole,integer, rational, irrational, or real
8.1.2
8.1.2.a Use drawings, words, and symbols to explain the effects of such operations as multiplication and division of integers
8.1.3
8.1.3.a Compute accurately with rational numbers
use conditional statements and logical reasoning to reason with real numbers.
8.1.1
8.1.1.a Compare and order real numbers
4-6
real number, irrational number, rational number, whole number, integer
textbook chapter 2
daily assignments, notes
quizzes, worksheets, test
5
1
use properties of equality and the Distributive Property to solve various linear equations.
8.3.3
8.3.3.e Identify and explain the properties used in solving equations and inequalities
6-10
inverse operation, equivalent equations, identity
textbook chapter 3
daily assignment, notes
quizzes, worksheets, test
6
1
write ratios and proportions, solve proportions using cross products, and solve percent problems.
8.1.3
8.1.3.a Compute accurately with rational numbers
8.3.3
8.3.3.e Identify and explain the properties used in solving equations and inequalities
2-4
ratio, proportion, cross product
textbook chapter 3
daily assignment, notes
quizzes, worksheets, test
7
1
rewrite equations in function form and solve formulas and literal equations for a given variable.
8.3.1
8.3.1.a Represent, interpret, and analyze patterns with graphs, tables, and algebraic equations
8.3.2
8.3.2.a Model contextualized problems using various representations (e.g., graphs, tables, one variable equalities, one variable inequalities, linear equations in slope intercept form
8.3.3
8.3.3.c Solve multi-step equation involving rational numbers
2-4
scale drawing, scale model, scale, literal equation, function, function notation
textbook chapter 3
daily assignment, notes
quizzes, worksheets, test
8
2
plot points in a coordinate plane and use tables, x and y intercepts to graph linear functions, and use these skills in real world situations.
8.2.2
8.2.2.a Use coordinate geometry to represent and examine the properties (e.g., parallel lines, perpendicular lines, circle equations)
8.3.1
8.3.1.c Identify slope
6-10
quadrant, standard form, linear function, x-intercept, y-intercept
textbook chapter 4
daily assignment, notes
quizzes, worksheets, test
9
2
use and interpret slope in real world problems and to identify parallel lines.
8.3.1
8.3.1.c Identify the slope
8.2.2
8.2.2.a Use coordinate geometry to represent and examine the properties (e.g., parallel lines, perpendicular lines, circle equations)
8.1.4
8.1.4.a Use estimation methods to check the reasonableness of solutions for problems involving rational numbers.
4-6
slope, rate of change, slope-intercept form, parallel
textbook chapter 4
daily assignments, notes
quizzes, worksheets, test
10
2
write and graph direct variation equations and use them to solve real world problems.
8.3.1
8.3.1.a Represent, interpret, and analyze patterns with graphs, tables, and algebraic equations
8.3.2
8.3.2.a Model contextualized problems using various representations (e.g., two-step/one variable equations)
8.1.4
8.1.4.a Use estimation methods to check the reasonableness of solutions for problems involving rational numbers.
2-4
direct variation, constant of variation, function notation, parent linear function
textbook chapter 4
daily assignments, notes
quizzes, worksheets, test
11
2
write linear equations in slope-intercept, point slope, and standard form and graph these equations and use them to solve real world problems.
8.3.1
8.3.1.c Identify the slope
8.3.2
8.3.2.a Model contextualized problems using various representations (e.g., two-step/one variable equations)
8.1.4
8.1.4.a Use estimation methods to check the reasonableness of solutions for problems involving rational numbers.
8-12
point-slope form, converse, perpendicular
textbook chapter 5
daily assignment, notes
quizzes, worksheets, test
12
2
write and find equations of lines parallel or perpendicular to given lines.
8.2.1
8.2.1 c Identify geometric properties of parallel lines cut by a transversal and related angles (e.g., parallel and perpendicular lines with transversals)
8.2.2
8.2.2.a Use coordinate geometry to represent and examine the properties (e.g., parallel lines, perpendicular lines, circle equations)
8.3.1
8.3.1.a Represent, interpret, and analyze patterns with graphs, tables, and algebraic equations
2-4
parallel, perpendicular
textbook chapter 5
daily assignments, notes
quizzes, worksheets, test
13
2
make scatter plots of data, find the line of best fit, interpret the data, perform linear regression, and make predictions using the graph and equation.
8.4.1
8.4.1.e Identify misrepresentation and misinterpretation of data represented in circle graphs and box plots
8.3.1
8.3.1.a Represent, interpret, and analyze patterns with graphs, tables, and algebraic equations
8.1.4
8.1.4.a Use estimation methods to check the reasonableness of solutions for problems involving rational numbers.
2-4
scatter plots, correlation, line of fit, best fitting line, linear regression, interpolation, extrapolation, zero of a function
textbook chapter 5
daily assignments, notes
quizzes, worksheets, test
14
2
write, solve and graph inequalities using addition, subtraction, multiplication and division.
8.3.2
8.3.2.a Model contextualized problems using various representations (e.g., two-step/one variable equations)
8.3.3
8.3.3.e Identify and explain the properties used in solving equations and inequalities
8-10
graph of an inequality, equivalent inequalities, compound inequalities
textbook chapter 6
daily assignments, notes
quizzes, worksheets, test
15
2
solve and graph absolute value equations and inequalities.
8.3.1
8.3.1.a Represent, interpret, and analyze patterns with graphs, tables, and algebraic equations
8.3.2
8.3.2.a Model contextualized problems using various representations (e.g., two-step/one variable equations)
4-6
absolute value equation, absolute deviation, linear inequality in two variables, graph of an inequality in two variables
textbook chapter 6
daily assignments, notes
quizzes, worksheets, test
16
3
use graphing, substitution, and elimination to solve systems of linear equations and inequalities.
8.3.2
8.3.2.a Model contextualized problems using various representations (e.g., two-step/one variable equations)
8.3.3
8.3.3.e Identify and explain the properties used in solving equations and inequalities
12-15
system of linear equations, solution of a system of linear equations, consistent independent system, inconsistent system, consistent dependent system, system of linear inequalities, solution of a system of linear inequalities, graph of a system of linear inequalities
textbook chapter 7
daily assignments, notes
quizzes, worksheets, test
17
3
apply properties of exponents involving products, quotients and use zero and negative exponents.
read, write and compute using numbers in scientific notation.
8.1.1
8.1.1.c Represent numbers using scientific notation
2-3
scientific notation,
textbook chapter 8
daily assignments, test
quizzes, worksheets, test
19
3
write and graph exponential growth and decay functions.
8.3.2
8.3.2.a Model contextualized problems using various representations
8.1.4
8.1.4.a Use estimation methods to check the reasonableness of solutions for problems involving rational numbers.
identify, classify, add, subtract and multiply polynomials and write polynomials to describe and solve real world problems.
8.1.4
8.1.4.a Use estimation methods to check the reasonableness of solutions for problems involving rational numbers.
6-8
polynomial, monomial, trinomial, binomial, degree, leading coefficient, roots
textbook chapter 9
daily assignments, test
quizzes, worksheets, test
21
3
factor polynomials and use factoring to solve equations
8.1.4
8.1.4.a Use estimation methods to check the reasonableness of solutions for problems involving rational numbers.
6-8
perfect square trinomial, factor by grouping, linear factor
textbook chapter 9
daily assignments, notes
quizzes, worksheets, test
22
3
factor polynomials completely using a variety of techniques
8.1.4
8.1.4.a Use estimation methods to check the reasonableness of solutions for problems involving rational numbers.
2-3
factor completely
textbook chapter 9
daily assignments, notes
quizzes, worksheets, test
23
3
graph quadratic functions and compare them to the parent graph
8.1.4
8.1.4.a Use estimation methods to check the reasonableness of solutions for problems involving rational numbers.
3-5
quadratic function, parabola, parent quadratic function, vertex, axis of symmetry, minimum value, maximum value
textbook chapter 10
daily assignments, notes
quizzes, worksheets, test
24
3
solve quadratic equations by factoring, graphing, using square roots, completing the square, and using the quadratic formula
8.1.4
8.1.4.a Use estimation methods to check the reasonableness of solutions for problems involving rational numbers.
6-8
quadratic equation, completing the square, quadratic formula
textbook chapter 10
daily assignments, notes
quizzes, worksheets, test
(1)
(2)
(3)
(4)
(5)
(6)
(7)
(8)
(9)
Obj #
Unit
Objective:
"The learner will . . ."
Standard(s)
No. of Days
Vocabulary Terms
Resources
Student Learning Activities
Assessment
1
1
write and evaluate expressions, equations, and inequalities using order of operations and real-world problems.
8.1.2,
8.3.1,
8.3.3,
8.1.4
8-12
variable, algebraic expression, power, exponent, base, order of operations, rate, equation, inequality, formula,
textbook chapter 1
daily assignments, notes
quizzes, worksheets, test
2
1
represent functions as rules and tables and graph these functions.
8.3.1
4-6
function, domain, range, independent, dependent
textbook chapter 1
daily assignments, notes
quizzes, worksheets, test
3
1
classify and order integers and rationals, perform basic operations, find square roots, apply properties to evaluate and simplify expressions, and use the Distributive Property to write equivalent expressions.
use conditional statements and logical reasoning to reason with real numbers.
8.1.1
4-6
real number, irrational number, rational number, whole number, integer
textbook chapter 2
daily assignments, notes
quizzes, worksheets, test
5
1
use properties of equality and the Distributive Property to solve various linear equations.
8.1.2,
8.3.1,
8.3.3
6-10
inverse operation, equivalent equations, identity
textbook chapter 3
daily assignment, notes
quizzes, worksheets, test
6
1
write ratios and proportions, solve proportions using cross products, and solve percent problems.
8.1.3,
8.3.3,
8.1.4
2-4
ratio, proportion, cross product
textbook chapter 3
daily assignment, notes
quizzes, worksheets, test
7
1
rewrite equations in function form and solve formulas and literal equations for a given variable.
8.3.1,
8.3.2,
8.3.3
2-4
scale drawing, scale model, scale, literal equation, function, function notation
textbook chapter 3
daily assignment, notes
quizzes, worksheets, test
8
2
plot points in a coordinate plane and use tables, x and y intercepts to graph linear functions, and use these skills in real world situations.
8.2.2,
8.3.1,
8.1.4
6-10
quadrant, standard form, linear function, x-intercept, y-intercept
textbook chapter 4
daily assignment, notes
quizzes, worksheets, test
9
2
use and interpret slope in real world problems and to identify parallel lines.
8.3.1,
8.2.1,
8.2.2
8.1.4
4-6
slope, rate of change, slope-intercept form, parallel
textbook chapter 4
daily assignments, notes
quizzes, worksheets, test
10
2
write and graph direct variation equations and use them to solve real world problems.
8.3.1,
8.3.2,
8.3.3,
8.1.4
2-4
direct variation, constant of variation, function notation, parent linear function
textbook chapter 4
daily assignments, notes
quizzes, worksheets, test
11
2
write linear equations in slope-intercept, point slope, and standard form and graph these equations and use them to solve real world problems.
8.3.1,
8.3.2,
8.1.4
8-12
point-slope form, converse, perpendicular
textbook chapter 5
daily assignment, notes
quizzes, worksheets, test
12
2
write and find equations of lines parallel or perpendicular to given lines.
8.2.1,
8.2.2,
8.3.1,
2-4
parallel, perpendicular
textbook chapter 5
daily assignments, notes
quizzes, worksheets, test
13
2
make scatter plots of data, find the line of best fit, interpret the data, perform linear regression, and make predictions using the graph and equation.
8.4.1,
8.3.1,
8.1.4
2-4
scatter plots, correlation, line of fit, best fitting line, linear regression, interpolation, extrapolation, zero of a function
textbook chapter 5
daily assignments, notes
quizzes, worksheets, test
14
2
write, solve and graph inequalities using addition, subtraction, multiplication and division.
8.3.1,
8.3.2,
8.3.3
8-10
graph of an inequality, equivalent inequalities, compound inequalities
textbook chapter 6
daily assignments, notes
quizzes, worksheets, test
15
2
solve and graph absolute value equations and inequalities.
8.1.3,
8.3.1,
8.3.2,
8.3.3
4-6
absolute value equation, absolute deviation, linear inequality in two variables, graph of an inequality in two variables
textbook chapter 6
daily assignments, notes
quizzes, worksheets, test
16
3
use graphing, substitution, and elimination to solve systems of linear equations and inequalities.
8.3.1,
8.3.3
12-15
system of linear equations, solution of a system of linear equations, consistent independent system, inconsistent system, consistent dependent system, system of linear inequalities, solution of a system of linear inequalities, graph of a system of linear inequalities
textbook chapter 7
daily assignments, notes
quizzes, worksheets, test
17
3
apply properties of exponents involving products, quotients and use zero and negative exponents.
8.1.3,
8.3.3,
5-8
power, exponent, base, reciprocal
textbook chapter 8
daily assignments, test
quizzes, worksheets, test
18
3
read, write and compute using numbers in scientific notation.
8.1.1,
8.1.2,
8.1.3,
2-3
scientific notation,
textbook chapter 8
daily assignments, test
quizzes, worksheets, test
19
3
write and graph exponential growth and decay functions.
identify, classify, add, subtract and multiply polynomials and write polynomials to describe and solve real world problems.
8.3.3,
8.1.4
6-8
polynomial, monomial, trinomial, binomial, degree, leading coefficient, roots
textbook chapter 9
daily assignments, test
quizzes, worksheets, test
21
3
factor polynomials and use factoring to solve equations
8.3.3
8.1.4
6-8
perfect square trinomial, factor by grouping, linear factor
textbook chapter 9
daily assignments, notes
quizzes, worksheets, test
22
3
factor polynomials completely using a variety of techniques
8.3.3
8.1.4
2-3
factor completely
textbook chapter 9
daily assignments, notes
quizzes, worksheets, test
23
3
graph quadratic functions and compare them to the parent graph
8.3.3
8.1.4
3-5
quadratic function, parabola, parent quadratic function, vertex, axis of symmetry, minimum value, maximum value
textbook chapter 10
daily assignments, notes
quizzes, worksheets, test
24
3
solve quadratic equations by factoring, graphing, using square roots, completing the square, and using the quadratic formula
8.3.3, 8.1.4
6-8
quadratic equation, completing the square, quadratic formula
textbook chapter 10
daily assignments, notes
quizzes, worksheets, test
LA 8.4.1 Information Fluency: Students will evaluate, create and communicate information in a variety of media and formats (textual, visual, and digital).
Textbook: Algebra 1, McDougal Littell, 2007
"The learner will . . ."
8.1.2.a Use drawings, words, and symbols to explain the effects of such operations as multiplication and division
8.3.1
8.3.1.a Represent, interpret, and analyze patterns with graphs, tables, and algebraic equations
8.3.3
8.3.3.e Identify and explain equivalent forms of linear equations
8.1.4
8.1.4.a Use estimation methods to check the reasonableness of solutions for problems involving rational numbers.
8.3.1.a Represent, interpret, and analyze patterns with graphs, tables, and algebraic equations
8.1.1.a Compare and order real numbers
8.1.1.d Classify numbers as natural, whole,integer, rational, irrational, or real
8.1.2
8.1.2.a Use drawings, words, and symbols to explain the effects of such operations as multiplication and division of integers
8.1.3
8.1.3.a Compute accurately with rational numbers
8.1.1.a Compare and order real numbers
8.3.3.e Identify and explain the properties used in solving equations and inequalities
8.1.3.a Compute accurately with rational numbers
8.3.3
8.3.3.e Identify and explain the properties used in solving equations and inequalities
8.3.1.a Represent, interpret, and analyze patterns with graphs, tables, and algebraic equations
8.3.2
8.3.2.a Model contextualized problems using various representations (e.g., graphs, tables, one variable equalities, one variable inequalities, linear equations in slope intercept form
8.3.3
8.3.3.c Solve multi-step equation involving rational numbers
8.2.2.a Use coordinate geometry to represent and examine the properties (e.g., parallel lines, perpendicular lines, circle equations)
8.3.1
8.3.1.c Identify slope
8.3.1.c Identify the slope
8.2.2
8.2.2.a Use coordinate geometry to represent and examine the properties (e.g., parallel lines, perpendicular lines, circle equations)
8.1.4
8.1.4.a Use estimation methods to check the reasonableness of solutions for problems involving rational numbers.
8.3.1.a Represent, interpret, and analyze patterns with graphs, tables, and algebraic equations
8.3.2
8.3.2.a Model contextualized problems using various representations (e.g., two-step/one variable equations)
8.1.4
8.1.4.a Use estimation methods to check the reasonableness of solutions for problems involving rational numbers.
8.3.1.c Identify the slope
8.3.2
8.3.2.a Model contextualized problems using various representations (e.g., two-step/one variable equations)
8.1.4
8.1.4.a Use estimation methods to check the reasonableness of solutions for problems involving rational numbers.
8.2.1 c Identify geometric properties of parallel lines cut by a transversal and related angles (e.g., parallel and perpendicular lines with transversals)
8.2.2
8.2.2.a Use coordinate geometry to represent and examine the properties (e.g., parallel lines, perpendicular lines, circle equations)
8.3.1
8.3.1.a Represent, interpret, and analyze patterns with graphs, tables, and algebraic equations
8.4.1.e Identify misrepresentation and misinterpretation of data represented in circle graphs and box plots
8.3.1
8.3.1.a Represent, interpret, and analyze patterns with graphs, tables, and algebraic equations
8.1.4
8.1.4.a Use estimation methods to check the reasonableness of solutions for problems involving rational numbers.
8.3.2.a Model contextualized problems using various representations (e.g., two-step/one variable equations)
8.3.3
8.3.3.e Identify and explain the properties used in solving equations and inequalities
8.3.1.a Represent, interpret, and analyze patterns with graphs, tables, and algebraic equations
8.3.2
8.3.2.a Model contextualized problems using various representations (e.g., two-step/one variable equations)
8.3.2.a Model contextualized problems using various representations (e.g., two-step/one variable equations)
8.3.3
8.3.3.e Identify and explain the properties used in solving equations and inequalities
8.1.3.b Evaluate expressions
8.3.3
8.3.3.b Evaluate numerical expressions containing whole number exponents.
8.1.1.c Represent numbers using scientific notation
8.3.2.a Model contextualized problems using various representations
8.1.4
8.1.4.a Use estimation methods to check the reasonableness of solutions for problems involving rational numbers.
8.1.4.a Use estimation methods to check the reasonableness of solutions for problems involving rational numbers.
8.1.4.a Use estimation methods to check the reasonableness of solutions for problems involving rational numbers.
8.1.4.a Use estimation methods to check the reasonableness of solutions for problems involving rational numbers.
8.1.4.a Use estimation methods to check the reasonableness of solutions for problems involving rational numbers.
8.1.4.a Use estimation methods to check the reasonableness of solutions for problems involving rational numbers.
"The learner will . . ."
8.3.1,
8.3.3,
8.1.4
8.1.2,
8.1.3
8.3.1,
8.3.3
8.3.3,
8.1.4
8.3.2,
8.3.3
8.3.1,
8.1.4
8.2.1,
8.2.2
8.1.4
8.3.2,
8.3.3,
8.1.4
8.3.2,
8.1.4
8.2.2,
8.3.1,
8.3.1,
8.1.4
8.3.2,
8.3.3
8.3.1,
8.3.2,
8.3.3
8.3.3
8.3.3,
8.1.2,
8.1.3,
8.3.2,
8.3.3,
8.1.4
8.1.4
8.1.4
8.1.4
8.1.4